8481312 has 108 divisors (see below), whose sum is σ = 28103166. Its totient is φ = 2419200.

The previous prime is 8481307. The next prime is 8481313. The reversal of 8481312 is 2131848.

It can be written as a sum of positive squares in only one way, i.e., 5934096 + 2547216 = 2436^2 + 1596^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8481313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13812 + ... + 14412.

Almost surely, 2^8481312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14051583).

8481312 is an abundant number, since it is smaller than the sum of its proper divisors (19621854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8481312 is a wasteful number, since it uses less digits than its factorization.

8481312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 8481312 is about 2912.2692183244. The cubic root of 8481312 is about 203.9330807033.

Adding to 8481312 its product of digits (1536), we get a palindrome (8482848).

The spelling of 8481312 in words is "eight million, four hundred eighty-one thousand, three hundred twelve".